Mathematics
Grade-11
Easy

Question

Solve the quadratic equation below using the Square Root Method.
negative 2 x squared plus 15 equals x squared minus 12

  1. 5, -5
  2. 6, -6
  3. 4, -4
  4. 3, -3

The correct answer is: 3, -3


    negative 2 x squared plus 15 equals x squared minus 12
    negative 2 x squared plus 15 minus 15 equals x squared minus 12 minus 15
    negative 2 x squared equals x squared minus 27
    negative 2 x squared minus x squared equals x squared minus x squared minus 27
    negative 3 x squared equals negative 27
    fraction numerator negative up diagonal strike 3 x squared over denominator negative up diagonal strike 3 end fraction equals fraction numerator negative 27 over denominator negative 3 end fraction
    x squared equals 9
    square root of x squared end root equals plus-or-minus square root of 9
    x equals plus-or-minus 3
    x equals 3 text  or  end text x equals negative 3
    The solutions to this quadratic formula are x = 3 and x = -3

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